| Title |
Chaotiniai procesai ir jų tyrimas sudėtingose sistemose / |
| Translation of Title |
Chaotic processes and their applications in complex dynamical systems. |
| Authors |
Žiaukas, Pranas |
| Full Text |
|
| Pages |
52 |
| Keywords [eng] |
dynamical systems ; chaos ; attractors ; fractal dimension ; Wada property |
| Abstract [eng] |
Chaotic processes are analyzed in this thesis using multiple techniques. A relaxed Newton’s discrete dynamical system with a complex control parameter is chosen and simulated numerically. Different set-ups of attracting basins are obtained along with their boundaries. The fractal dimensions of basin boundaries are measured using the box counting algorithm. The Wada qualities of basins are evaluated using a novel proposed algorithm. Both characteristics are compared in a two-dimensional parameter plane, non-trivial relations between them are emphasized. Examples of a complex transient behavior under certain conditions are provided. Finally, advantages and disadvantages of a proposed Wada characteristic are discussed, and recommendations are made regarding further research. |
| Dissertation Institution |
Kauno technologijos universitetas. |
| Type |
Master thesis |
| Language |
English |
| Publication date |
2016 |
